Singular integrals with Cauchy type kernels and their application to a two-dimensional problem on the evolution of a fluid interface in an inhomogeneous layer

DOI10.1134/S0012266106090059zbMath1133.30330OpenAlexW2068977874MaRDI QIDQ2480429

V. F. Piven'

Publication date: 31 March 2008

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266106090059

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) PDEs in connection with fluid mechanics (35Q35) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Complex variables methods applied to problems in fluid mechanics (76M40) Integral equations with kernels of Cauchy type (45E05) Other free boundary flows; Hele-Shaw flows (76D27) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items (1)

On a transplant operator and explicit construction of Cauchy-type integral representations for \(p\)-analytic functions

Cites Work

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